The area of a circular sunspot is growing at a rate of 700 km2/sec. (a) How fast is the radius growing at the instant when it equals 3,000 kilometers? HINT [See Example 1.] (Round your answer to three decimal places.) km/s (b) How fast is the radius growing at the instant when the sunspot has an area of 810,000 square kilometers? HINT [Use the area formula to determine the radius at that instant.] (Round your answer to four decimal places.) km/s

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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The area of a circular sunspot is growing at a rate of 700 km2/sec.
(a) How fast is the radius growing at the instant when it equals 3,000 kilometers? HINT [See Example 1.] (Round your answer to three decimal places.)
km/s
(b) How fast is the radius growing at the instant when the sunspot has an area of 810,000 square kilometers? HINT [Use the area formula to determine the radius at that instant.] (Round your
answer to four decimal places.)
km/s
Transcribed Image Text:The area of a circular sunspot is growing at a rate of 700 km2/sec. (a) How fast is the radius growing at the instant when it equals 3,000 kilometers? HINT [See Example 1.] (Round your answer to three decimal places.) km/s (b) How fast is the radius growing at the instant when the sunspot has an area of 810,000 square kilometers? HINT [Use the area formula to determine the radius at that instant.] (Round your answer to four decimal places.) km/s
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